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Yamabe Spectra

Alexander Reznikov
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Abstract

We study the set of volumes of constant scalar curvature one metrics on an atoroidal three-manifold.The infinum of this set is believed to be attained at a hyperbolic metric. We prove that the supremum of this set is always infinity. The technique is: minimal surfaces, Thurston norm in homology and new conformal invariants.

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BibTeXRIS

Alexander Reznikov. 1994-11-07. Yamabe Spectra. https://arxiv.org/abs/dg-ga/9411002

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